document.write( "Question 839065: The cruising speed of an airplane is 320 miles per hours. With the wind the airplane can cover a certain distance in 6 hours, but against the wind it can cover only 7/8 of that distance in 6 hours. Find the velocity of the wind. \r
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document.write( "320 miles per hour= 1920 and 7/8 of that is 1680. I tried to set up the equations and got
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document.write( "1920=W+speed
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document.write( "1680= speed-w \n" );
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Algebra.Com's Answer #505641 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! The cruising speed of an airplane is 320 miles per hours. \n" ); document.write( " With the wind the airplane can cover a certain distance in 6 hours, but against the wind it can cover only 7/8 of that distance in 6 hours. \n" ); document.write( " Find the velocity of the wind. \n" ); document.write( ": \n" ); document.write( "Let's do it this way. \n" ); document.write( ": \n" ); document.write( "Let w = the velocity of the wind \n" ); document.write( "then \n" ); document.write( "Original distance = 6(320+w) \n" ); document.write( "Against distance = 6(320-w) \n" ); document.write( "the equation \n" ); document.write( "6(320-w) = \n" ); document.write( "divide both sides by 6 \n" ); document.write( "(320-w) = \n" ); document.write( "multiply both sides by 8 \n" ); document.write( "8(320-w) = 7(320+w) \n" ); document.write( "2560 - 8w = 2240 + 7w \n" ); document.write( "2560 - 2240 = 7w + 8W \n" ); document.write( "320 = 15w \n" ); document.write( " w = 320/15 \n" ); document.write( " w = 21 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can check this on a calc \n" ); document.write( "6(320+21.33) * \n" ); document.write( "see if it equals \n" ); document.write( "6(320-21.333)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |